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Finding the Third Proportional to 3,232 and 5,302

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Solution

The third proportional to 3,232 and 5,302 is: 8,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232 : 5,302 = 5,302 : x
  2. Step 2: Convert to fraction form
    3,232/5,302 = 5,302/x
  3. Step 3: Cross multiply
    3,232x = 5,302 × 5,302
  4. Step 4: Simplify right side
    3,232x = 28,111,204
  5. Step 5: Solve for x
    x = 28,111,204/3,232
  6. Step 6: Final answer
    x = 8,697.77

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.